The initial boundary problem for the Korteweg-de Vries equation on the negative quarter-plane

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 458, Issue 2020, 2002, Pages 857-871

  Marchant, T R ^a   Smyth, N F ^a  

^a UNIVERSITY OF WOLLONGONG   (Australia)

Author keywords

Initial boundary value problems; KdV equation; Modulation theory

Indexed keywords

EID: 33750430938     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.2001.0868     Document Type: Article

References (17)

1. The Korteweg-de Vries equation with boundary forcing
2. Solitary waves induced by boundary motion
3. Nonlinear effects in the unsteady, critical withdrawal of a stratified fluid
4. A unified transform method for solving linear and certain nonlinear PDEs
5. On the integrability of linear and nonlinear partial differential equations
6. Forced nonlinear evolution equations and the inverse scattering transform
7. The solution of certain initial boundary-value problems for the linearized Korteweg-de Vries equation
8. Method for solving moving boundary value problems for linear evolution equations
9. A numerical and theoretical study of certain nonlinear wave phenomena
10. Method for solving the Korteweg-de Vries equation
11. Nonstationary structure of a collisionless shock wave
12. Exact solution of the Korteweg-de Vries equation for multiple collisions of solitons
13. Existence and nonexistence of solitary wave solutions to higher-order model evolution equations
14. Initial-boundary value problems for the Korteweg-de Vries equation
15. Nonlinear dispersive waves
16. Interaction of solitons in a collisionless plasma and the recurrence of initial states